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The spread of infectious disease on complex networks with household-structure

Author

Listed:
  • Liu, Jingzhou
  • Wu, Jinshan
  • Yang, Z.R.

Abstract

In this paper, we study the household-structure SIS epidemic spreading on general complex networks. The household structure gives us the way to distinguish the inner and the outer infection rates. Unlike household-structure models on homogenous networks, such as regular and random networks, we consider heterogeneous networks with arbitrary degree distribution p(k). Through mean field analysis and computer simulations, we find some unique phenomena only existing in divergent network with household structure. In our model, disease can spread on the scale-free network even when local recovery rate is greater than inner infection rate in every household. This implies that no disease is spreading in every single household, but for the whole network disease is spreading. Since our society network seems like this structure, maybe this conclusion remind us that during disease spreading we should pay more attention to network structure than local cure condition.

Suggested Citation

  • Liu, Jingzhou & Wu, Jinshan & Yang, Z.R., 2004. "The spread of infectious disease on complex networks with household-structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 341(C), pages 273-280.
    • Handle: RePEc:eee:phsmap:v:341:y:2004:i:c:p:273-280
    DOI: 10.1016/j.physa.2004.05.031
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    Cited by:

    1. Shang, Jiaxing & Liu, Lianchen & Li, Xin & Xie, Feng & Wu, Cheng, 2015. "Epidemic spreading on complex networks with overlapping and non-overlapping community structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 171-182.
    2. Park, Ji Hwan & Chang, Woojin & Song, Jae Wook, 2020. "Link prediction in the Granger causality network of the global currency market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    3. Rafael Rentería-Ramos & Rafael Hurtado-Heredia & B Piedad Urdinola, 2019. "Morbi-Mortality of the Victims of Internal Conflict and Poor Population in the Risaralda Province, Colombia," IJERPH, MDPI, vol. 16(9), pages 1-18, May.
    4. Sanders, Johnathan & Noble, Benjamin & Van Gorder, Robert A. & Riggs, Cortney, 2012. "Mobility matrix evolution for an SIS epidemic patch model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6256-6267.

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